Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216o |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.9125819375729E+22 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8339200,-2160082944] |
[a1,a2,a3,a4,a6] |
j |
15658021359810921772799/9552201996027691008 |
j-invariant |
L |
0.26669111585721 |
L(r)(E,1)/r! |
Ω |
0.066672778965066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902o2 117648bg2 |
Quadratic twists by: -4 -3 |